Here's the scoop on Defying Gravity:
That night, she sleeps with Donner, the lead astronaut. The next morning they wake up together and she sees or imagines an eagle flying overhead.
She packs up her gear and heads to the train station to go home. I think she's wearing turquoise earrings, a subtle indication of what's to come.
At the station, she sees a girl with an elaborate tattoo on one arm. It looks like it's done in the style of the Pacific Northwest Indian tribes. Zoe decides she wants a tattoo and goes to the shop where the girl got hers.
Significantly, I think the shop is called "Earth." The designs on the wall, only vaguely visible, are all natural things such as animals and plants. There are no bikers on motorcycles, skulls and crossbones, half-naked girls, etc.
Moreover, the tattoo artist looks Native. He's played by Trevor Carroll, a small-time actor who may be Native. In short, everything suggests it's a Native-owned shop specializing in Native tattoos.
Zoe gets a Pacific Northwest-style tattoo of the eagle she saw. Her lack of confidence kept her from passing before, but now she seems more confident in herself. She will soar--literally, since she's an astronaut--like an eagle.
Since the show was canceled, we never learn how she got back into the astronaut program. But the implication is that her vision inspired her. Perhaps she was part Native, or had some Native connection. In any case, a bit of Native culture gave her the strength to go on.
For more Native subjects on TV, see Eden Eats Visits Pima-Maricopa Rez and Un-Racist Remark in Real Housewives.